Andy is getting his office painted. Andy gets to choose the paint color, but his boss has to approve it. The probability of Andy choosing red is 32%. The probability that his boss approves Andy's choice is 20%. What is the probability that Andy chooses red and his boss approves?

Question

Naomi Hicks

Mathematics

4 September, 05:35

Andy is getting his office painted. Andy gets to choose the paint color, but his boss has to approve it. The probability of Andy choosing red is 32%. The probability that his boss approves Andy's choice is 20%. What is the probability that Andy chooses red and his boss approves?

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Answers (2)

Know the Answer?

Mickey · Answer 1

You would multiply 20% and 32% and get 0.064 or 6.4%

Duchess · Answer 2

Let A be the probability that Andy choose red

Let B be the probability that his boss approves

Solution:

P (A and B) = P (A) X P (B)

= 0.32 X 0.20

= 0.064

Convert the 0.064 to percentage, multiply it by 100.

=0.064 x 100

=6.4%